At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor, membership is $65 per month, and personal training sessions are $20 each. Part B: How many training sessions are needed in one month for both costs to be the same? A)6
B)4
C)3
D)5

Sarah would have to by 4 sessions, and then the total cost of both gyms will be equal.

Step-by-step explanation:

Step-by-step explanation:

According to the problem, At Silver Gym is $25 per month, and $30 per personal training session. At Fit Factor is $65 per month and $20 per personal training session.

So, basically, each expression would be

At Silver Gym: 25 + 30x

At Fit Facto: 65 + 20x

To know the number of personal training sessions Sarah would have to buy to make them equal, we have to equalize these expressions and solve for x

25 + 30x = 65 + 20x

30x - 20x = 65 - 25

10x = 40

x = 4

Therefore, Sarah would have to by 4 sessions, and then the total cost of both gyms will be equal.

Notice that the variable is with the personal training sessions, you have to do that because a membership won't variate since the problem specifies the period of 1 month, however in one month, the number of personal training sessions do variate.

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form